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Algebraic Combinatorics and Computer Science

A Tribute to Gian-Carlo Rota

  • H. Crapo
  • D. Senato

Table of contents

  1. Front Matter
    Pages I-X
  2. Introduction

    1. Front Matter
      Pages 1-1
    2. H. Crapo
      Pages 3-22
  3. The Fubini Lectures

    1. Front Matter
      Pages 23-23
    2. E. Vesentini
      Pages 25-26
    3. G.-C. Rota
      Pages 27-39
    4. G.-C. Rota
      Pages 41-56
  4. Recurrent Themes of Gian-Carlo Rota’s Mathematical Thought

    1. Front Matter
      Pages 95-95
    2. D. A. Buchsbaum
      Pages 97-109
    3. M. Barnabei, L. B. Montefusco
      Pages 111-127
    4. A. Brini, F. Regonati, A. G. B. Teolis
      Pages 151-196
    5. F. Cicalese, D. Mundici, U. Vaccaro
      Pages 197-244
    6. E. Di Nardo, D. Senato
      Pages 245-266
  5. Focus on Catalan Numbers and Combinatorics on Words

    1. Front Matter
      Pages 343-343
    2. M. Bamabei, F. Bonetti
      Pages 345-345
    3. D. Perrin
      Pages 391-427
  6. Algebraic Combinatorics and Theoretical Computer Science

    1. Front Matter
      Pages 429-429
    2. A. Lascoux
      Pages 431-444
    3. T. Britz, M. Mainetti, L. Pezzoli
      Pages 445-459
    4. A. Di Bucchianico, G. Soto y Koelemeijer
      Pages 461-472
    5. A. M. Garsia, M. Zabrocki
      Pages 473-491
    6. B. Codenotti, G. Resta
      Pages 513-532

About this book

Introduction

This book, dedicated to the memory of Gian-Carlo Rota, is the result of a collaborative effort by his friends, students and admirers. Rota was one of the great thinkers of our times, innovator in both mathematics and phenomenology. I feel moved, yet touched by a sense of sadness, in presenting this volume of work, despite the fear that I may be unworthy of the task that befalls me. Rota, both the scientist and the man, was marked by a generosity that knew no bounds. His ideas opened wide the horizons of fields of research, permitting an astonishing number of students from all over the globe to become enthusiastically involved. The contagious energy with which he demonstrated his tremendous mental capacity always proved fresh and inspiring. Beyond his renown as gifted scientist, what was particularly striking in Gian-Carlo Rota was his ability to appreciate the diverse intellectual capacities of those before him and to adapt his communications accordingly. This human sense, complemented by his acute appreciation of the importance of the individual, acted as a catalyst in bringing forth the very best in each one of his students. Whosoever was fortunate enough to enjoy Gian-Carlo Rota's longstanding friendship was most enriched by the experience, both mathematically and philosophically, and had occasion to appreciate son cote de bon vivant. The book opens with a heartfelt piece by Henry Crapo in which he meticulously pieces together what Gian-Carlo Rota's untimely demise has bequeathed to science.

Keywords

Algebraic Combinatorics Alphabet Combinatorics Computer Gian-Carlo Rota Graph Invariant Theory Resolution Theoretical Computer Science Umbral Calculus Variable algorithms calculus combinatorics on words logic

Editors and affiliations

  • H. Crapo
    • 1
  • D. Senato
    • 2
  1. 1.Centre d’Analyse et Mathematique SocialesE.H.E.S.S. — C.N.R.S.ParisFrance
  2. 2.Dipartimento di MatematicaUniversità della BasilicataPotenzaItaly

Bibliographic information

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